Question

A conservative force in a region is given by F =(A/x^3) i^. An expression for PE, assuming the potential at infinity to zero, is

Answer 1

Answer:

D) A/2x²

Explanation:

By using Relation

F = -dU/dx

dU = -F*dx

Keeping The Value of F

dU = -(A/x³)*dx

Integrating Both The Sides from infinity to a particular point x

Let's Assume Potential at x is U

and at Infinity potential is 0

∫ dU = -A ∫ dx/x³

[ U ] = -A * [ -1/2x² ]

Keeping the Limits, We Get

- U = -A * (1/2x²)

U = A/(2x²)

Answer 2

Explanation:

Option 4 is your answer.